## Geometry: Common Core (15th Edition)

We can use the first equation to substitute for $y$ in the second equation. Then we can solve for $x$ first: $x = (x + 1) - 1$ We don't need the parentheses here, so let's get rid of them: $x = x + 1 - 1$ Simplify the right side of the equation: $x = x$ Move the $x$ terms to the left side of the equation by subtracting $x$ from each side of the equation: $0 = 0$ This means that this statement is true for every value of $x$; therefore, there are infinitely many solutions to this system of equations.